D4 Symmetry and Fermi Arcs in Weyl Semimetals — E8 Intelligence Research

{"FINDING:":[0],"D4":[1,26,111],"dihedral":[2],"group":[3,157],"governs":[4],"square-lattice":[5],"symmetry":[6,114,143],"and":[7,48,131],"its":[8,120,132],"irreducible":[9],"representations":[10],"underpin":[11],"Weyl-semimetal":[12],"surface":[13,71,99],"states":[14,72],"(Fermi":[15],"arcs),":[16],"linking":[17],"finite-group":[18],"theory":[19],"to":[20,124,139,155],"topological":[21],"band":[22],"structure.":[23],"|":[24,109],"MATH:":[25],"has":[27,83],"order":[28],"8,":[29],"5":[30,34],"conjugacy":[31],"classes":[32],"→":[33],"irreps":[35],"(4×1-dim,":[36],"1×2-dim).":[37],"Character":[38],"table:":[39],"trivial,":[40],"sign,":[41],"two":[42,126],"1-dim":[43],"\\"rotation\\"":[44],"reps":[45],"(χ(ρ)=±1,":[46],"χ(σ)=±1),":[47],"2-dim":[49,121,152],"rep":[50],"with":[51,70],"χ(ρ)=0,":[52],"χ(σ)=0.":[53],"For":[54],"Weyl":[55,78,85,107],"semimetals:":[56],"Fermi":[57],"arc":[58],"connectivity":[59],"is":[60,112],"encoded":[61],"by":[62],"the":[63,113,116,125,140,145,151,170],"Chern":[64,94],"number":[65,95],"C":[66],"=":[67,75,101,160],"(1/2π)∮_BZ":[68],"F·d²k,":[69],"obeying":[73],"k·v":[74],"0":[76],"at":[77],"points.":[79,108],"NbP":[80],"(NbAs":[81],"family)":[82],"4":[84],"points":[86],"in":[87],"BZ,":[88],"each":[89],"carrying":[90],"chirality":[91],"±1;":[92],"total":[93,156],"change":[96],"across":[97],"a":[98],"cut":[100],"sum":[102],"of":[103,105,115,144,150,169],"chiralities":[104],"enclosed":[106],"CONNECTION:":[110],"square":[117,146],"lattice":[118,128],"—":[119],"irrep":[122,153],"corresponds":[123],"orthogonal":[127],"directions":[129],"(x,y),":[130],"rotation":[133],"subgroup":[134],"C4":[135],"(order":[136],"4)":[137],"maps":[138],"90°":[141],"rotational":[142],"BZ.":[147],"The":[148],"ratio":[149],"dimension":[154],"order:":[158],"2/8":[159],"Author:":[161],"Andrew":[162],"Stewart":[163],"Caldin,":[164],"Independent":[165],"Researcher,":[166],"UK.":[167],"Part":[168],"E8":[171],"Intelligence":[172],"Research":[173],"series.":[174],"Platform:":[175],"e8intelligence.com":[176]}